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Finding the Third Proportional to 577.76 and 871.70

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Solution

The third proportional to 577.76 and 871.70 is: 1,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 871.70 = 871.70 : x
  2. Step 2: Convert to fraction form
    577.76/871.70 = 871.70/x
  3. Step 3: Cross multiply
    577.76x = 871.70 × 871.70
  4. Step 4: Simplify right side
    577.76x = 759,859.53
  5. Step 5: Solve for x
    x = 759,859.53/577.76
  6. Step 6: Final answer
    x = 1,315.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.